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Maths Application of Derivatives Class 12 MCQ Questions

Question 1 of 7
Question 1 of 7
NCERT Exemplar
The abscissa of the point on the curve \(3 y=6 x-5 x^3\), the normal at which passes through origin is:
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Question 2 of 7
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The interval on which the function \(f(x)=2 x^3+9 x^2+12 x-1\) is decreasing is:
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Question 3 of 7
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The slope of the tangent line to the curve \(y=\mathrm{x}^2-3 x\) at \(x=1\) represents:
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Question 4 of 7
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To find the dimensions of a rectangle with a fixed perimeter that has the maximum possible area, one should look for a point where:
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Question 5 of 7
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The "point of diminishing returns" in economics, where adding more input starts to yield smaller increases in output, corresponds mathematically to:
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Question 6 of 7
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The sides of an equilateral triangle are increasing at the rate of 2 \(\mathrm{cm} / \mathrm{sec}\). The rate at which the area increases, when side is 10 cm is:
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Question 7 of 7
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Maximum slope of the curve \(y=-x^3+3 x^2+9 x-27\) is:
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NCERT Exemplar MCQ Quiz · Class 12 · Maths · CBSE

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Chapter 6 Class 12 Application of Derivatives | 7 questions | about 6 minutes

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